Bangkok , Thailand -LRB- CNN -RRB- -- Tens of thousands of people have fled fighting between Thailand and Cambodia over the past week , 30 people have been injured , and five Thai soldiers have been killed , the Thai Ministry of Public Health said Tuesday .

About 27,000 people are living in 33 temporary shelters in Thailand , the ministry said .

Clashes between the two sides began last Friday , with each country accusing the other of trying to seize two ancient temples .

Thai Foreign Minsiter Kasit Piromya visited the province and said in a statement Tuesday that Cambodia is still attacking Thais .

There was a brief exchange of fire between Cambodian and Thai troops Tuesday afternoon , but it was calmed quickly , Thai Col. Sansern Kaewkumnerd said .

There were no new casualties from the incident , which he said resulted from a misunderstanding stemming from a routine Air Force exercise .

Both sides claim the disputed temples are in their country . Thailand calls them Ta Kwai and Ta Muen , while Cambodia calls them Ta Krabey and Ta Moan . Much of the border between the two countries remains in dispute .

U.S. Secretary of State Hillary Clinton said Monday that the United States `` remains deeply concerned about clashes between security forces along the Thailand-Cambodia border . ''

The U.S. government is speaking directly to Thai and Cambodian officials , and also supports efforts by Indonesia , the chair of the Association of Southeast Asian Nations , to work with both countries on a resolution , Clinton 's statement said .

The fighting on the ground has been coupled with a war of words in recent days .

Cambodia said Monday that Thai warplanes had entered its airspace and that the Thai military had shelled populated Cambodian territory . Cambodia 's government has said three of its troops have been killed in the fighting .

On Sunday , Sansern accused Cambodian troops of opening fire first and said Thai troops responded to protect their country 's sovereignty .

In February , at least 10 people were killed when fighting flared up in another disputed border area between the two nations , prompting the United Nations Security Council to issue a statement calling on both sides to implement a cease-fire .

Those clashes , which lasted four days , stemmed from a longstanding conflict related to the 11th-century Preah Vihear temple . Both Cambodia and Thailand lay claim to the temple , which sits atop a cliff on Cambodian soil but has its most accessible entrance on the Thai side . At the time , each nation accused the other of firing first .

CNN 's Kocha Olarn contributed to this report .

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Fresh clash breaks out Tuesday but is calmed quickly , a Thai official says

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Thai Health Ministry says 27,000 Thais are living in temporary shelters

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Each side blames the other for the violence , which erupted near two disputed temples

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U.S. Secretary of State Clinton says the United States is `` deeply concerned ''